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Event

Etienne Granet, University of Chicago

Tuesday, November 1, 2022 15:30to16:30

Title: Quantum Ising model with additional all-to-all interactions.

Abstract:ÌýI will consider the quantum Ising model with additional all-to-all interactions, which serves as a toy model for long-range interactions and that arises in different contexts. I will in a first part show the mean-field solvability of the model, which holds despite the coexistence of short-range and long-range interactions. In a second part I will discuss the unusual behaviour of the splitting between the two degenerate ground states in presence of interactions corresponding to power-laws with exponent smaller than 1.

Seminar Physique Mathématique
Hybride, Pav. André Aisenstad, salle/room 4336-4384

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